Atkin-Lehner |
2+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
45472j |
Isogeny class |
Conductor |
45472 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-13974818816 = -1 · 212 · 76 · 29 |
Discriminant |
Eigenvalues |
2+ -1 1 7- -5 -1 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-65,5713] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:49:1] [-7:76:1] |
Generators of the group modulo torsion |
j |
-64/29 |
j-invariant |
L |
8.0877576598136 |
L(r)(E,1)/r! |
Ω |
1.0165527858242 |
Real period |
R |
0.99450783232782 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999986 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45472f1 90944ds1 928a1 |
Quadratic twists by: -4 8 -7 |